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10120010100210 = 2325971980311813
BaseRepresentation
bin1001001101000011111110…
…0110110110110111110010
31022211110111220102000012200
42103100333212312313302
52311301240041201320
633305022442004030
72063101166354343
oct223207746666762
938743456360180
1010120010100210
11325196596761a
1211753aaaa6616
1358540b46ac3a
1426db4d9440ca
151283a0c41290
hex9343f9b6df2

10120010100210 has 96 divisors (see below), whose sum is σ = 26344040868288. Its totient is φ = 2695386894720.

The previous prime is 10120010100097. The next prime is 10120010100247. The reversal of 10120010100210 is 1200101002101.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 10120010100192 and 10120010100201.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 856678264 + ... + 856690076.

It is an arithmetic number, because the mean of its divisors is an integer number (274417092378).

Almost surely, 210120010100210 is an apocalyptic number.

10120010100210 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

10120010100210 is an abundant number, since it is smaller than the sum of its proper divisors (16224030768078).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

10120010100210 is a wasteful number, since it uses less digits than its factorization.

10120010100210 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22600 (or 22597 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 10120010100210 its reverse (1200101002101), we get a palindrome (11320111102311).

The spelling of 10120010100210 in words is "ten trillion, one hundred twenty billion, ten million, one hundred thousand, two hundred ten".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 971 1942 2913 4855 5826 8739 9710 9803 11813 14565 17478 19606 23626 29130 29409 35439 43695 49015 58818 59065 70878 87390 88227 98030 106317 118130 147045 176454 177195 212634 294090 354390 441135 531585 882270 1063170 9518713 11470423 19037426 22940846 28556139 34411269 47593565 57112278 57352115 68822538 85668417 95187130 103233807 114704230 115802839 142780695 171336834 172056345 206467614 231605678 285561390 344112690 347408517 428342085 516169035 579014195 694817034 856684170 1032338070 1042225551 1158028390 1737042585 2084451102 3474085170 5211127755 10422255510 112444556669 224889113338 337333670007 562222783345 674667340014 1012001010021 1124445566690 1686668350035 2024002020042 3373336700070 5060005050105 10120010100210